Grade 11 · Math · Algebra 2

11th grade Even and odd functions worksheet

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Even and odd functions

Grade 11 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

1.
On a worksheet, f(x) = x⁵ − 2x³. Esme tests it with f(-x). Is f even, odd or neither?
- Even
- Neither
- Odd
2.
In a notebook, Jun has f(x) = x⁴ − 3x² + 7. Is f even, odd or neither?
- Odd
- Neither
- Even
3.
Kira works out f(-x) in pencil for f(x) = x³ + 1. Is f even, odd or neither?
- Odd
- Even
- Neither
4.
On a puzzle card, f(x) = 2x² + x. Luz sorts it. Is f even, odd or neither?
- Even
- Odd
- Neither
5.
On a worksheet, Milo has f(x) = -x³ + 5x. Is f even, odd or neither?
- Even
- Odd
- Neither
6.
In a notebook, Noah tests f(x) = 3x⁴ − 2 with -x. Is f even, odd or neither?
- Neither
- Even
- Odd
In a notebook, Ren notes that f is even and (3, 4) is on its graph. Which other point must be on it?
Tala marks (-4, -1) in pencil on the graph of an odd function f. Which other point must be on the graph?
9.
Esme checks the graph of f in pencil on graph paper. Is f even, odd or neither?
- Odd
- Even
- Neither
10.
On a puzzle card, Jun sees the graph of f. Is f even, odd or neither?
- Odd
- Even
- Neither

Even and odd functions. Every version has 10 questions, and the answer key prints on the second page.

I can work out f(-x) and compare it with f(x).
I can tell whether a function is even, odd or neither from a table, a graph or a rule.
I can use even or odd to find f(-3) from f(3).

Standard: F-BF.B.3

even function: f(-x) = f(x): its graph is a mirror image over the y-axis.

odd function: f(-x) = -f(x): its graph matches itself after a half turn about (0, 0).

mirror rows: The rows for x and -x, side by side.

neither: Some mirror pair breaks both rules.

Your child flipped the sign for an even function. Even means mirror rows match: f(-3) = f(3).

Your child kept the same output for an odd function. Odd means mirror rows are opposites: f(-3) = -f(3).

Your child wrote -f(x) for f(-x), changing every sign. Only odd powers change sign.

Ask: even or odd, and what does that mean?

Ask: what is (-2)²?

What is the most common mistake with even and odd functions?

Your child flipped the sign for an even function. Even means mirror rows match: f(-3) = f(3).

How can I help my child with even and odd functions?

Ask: even or odd, and what does that mean?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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